From the 1 of 5 linked papers with an AI index.
5 papers
Rare Events Govern Defect Formation under Weak Symmetry Breaking
Jiang Liu, Peng Yang, Matteo Baggioli
The paper explains how rare fluctuations, analyzed via large‑deviation theory, control the formation of topological defects when a continuous phase transition occurs under weak exp…
Topological Defect Formation Beyond the Kibble-Zurek Mechanism in Crossover Transitions with Approximate Symmetries
Peng Yang, Chuan-Yin Xia, Sebastian Grieninger +2
The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken…
Extended Heun Hierarchy in Quantum Seiberg-Witten Geometry
Peng Yang, Yi-Rong Wang, Kilar Zhang
We investigate the quantum geometry of the Seiberg-Witten curve for , linear quiver gauge theories. By applying the Weyl quantization prescription…
Representations of binary forms by quaternary quadratic forms
Wooyeon Kim, Andreas Wieser, Pengyu Yang
We prove a local-global principle for representations of binary by quaternary quadratic forms. One of the main ingredients is a recent measure rigidity result of Einsiedler and Lin…
Stochastic Calculus and Hochschild Homology
Si Li, Zichang Wang, Peng Yang
This paper is a case study of probabilistic approach to homological aspects of topological quantum field theory via the example of topological quantum mechanics. We propose topolog…